The existing Data Envelopment Analysis models for evaluating the relative eciency of a set of decision making units by using various inputs to produce various outputs are limited to crisp data in crisp production possibility set. In this paper, rst of all the production possibility set is extended to the fuzzy production possibility set by extension principle in constant return to scale, and th...

Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. The fundamental concepts of neutrosophic set, introduced by Smarandache in [30, 31, 32] and Salama et al. in [4-29]. In Geographical information systems (GIS) there is a need to model spatial regions with indeterminate boundary and under indeterminacy. In this paper the structure of some cl...

This paper presents a novel type-2 Fuzzy logic System to define the Shape of a facial component with the crisp output. The Fuzzy model, designed in this paper, takes crisp value of width and height of a facial component and produces the crisp value of Shape for different facial components. The Fuzzy model is designed using Matlab 6.5 and Visual Basic 6.0 and tested with the facial components ex...

We describe the use of weighted linked pyramids for soft region segmentation of colour images. In many digital images definitive region boundaries can not be determined, casting doubt on the reasonableness of a conventional crisp segmentation. We propose that soft segmentation gives a more natural region segmentation of digital images than conventional crisp segmentation. Weighted linked pyrami...

AX B In the paper, a class of fuzzy matrix equations    B where A is an m × n crisp matrix and is an m × p arbitrary LR fuzzy numbers matrix, is investigated. We convert the fuzzy matrix equation into two crisp matrix equations. Then the fuzzy approximate solution of the fuzzy matrix equation is obtained by solving two crisp matrix equations. The existence condition of the strong LR fuzzy s...

Fuzzy Description Logics (DLs) generalize crisp ones by providing membership degree semantics for concepts and roles. A popular technique for reasoning in fuzzy DL ontologies is by providing a reduction to crisp DLs and then employ reasoning in the crisp DL. In this paper we adopt this approach to solve conjunctive query (CQ) answering problems for fuzzy DLs. We give reductions for Gödel, and Ł...

This study describes application of some approximate reasoning methods to analysis of hydrocyclone performance. In this manner, using a combining of Self Organizing Map (SOM), Neuro-Fuzzy Inference System (NFIS)-SONFISand Rough Set Theory (RST)-SORST-crisp and fuzzy granules are obtained. Balancing of crisp granules and non-crisp granules can be implemented in close-open iteration. Using differ...

This paper describes the use of weighted linked pyramid algorithms to achieve soft segmentation of images. A fundamental problem of region segmentation is that for many images no unique, correct region boundaries can be determined. In this situation the normal desire for a deenitive crisp segmentation may be unreasonable. It is proposed that soft segmentation is a more natural way to segment di...